2011Journal of Chongqing University of Arts and SciencesRequires access

A mixed conjugate gradient method for unconstrained optimization

Guo Cui-feng

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Abstract

A modified conjugate gradient formula and some properties of the new formula are presented.We propose a mixed conjugate gradient algorithm that combines the new formula and DY formula.The algorithm produces a descent direction under Wolf condition.The global convergence of the algorithm is proved,some numerical examples are given.

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A modified conjugate gradient formula and some properties of the new formula are presented.We propose a mixed conjugate gradient algorithm that combines the new formula and DY formula.The algorithm produces a descent direction under Wolf condition.The global convergence of the algorithm is proved,some numerical examples are given.

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Available abstract

A modified conjugate gradient formula and some properties of the new formula are presented.We propose a mixed conjugate gradient algorithm that combines the new formula and DY formula.The algorithm produces a descent direction under Wolf condition.The global convergence of the algorithm is proved,some numerical examples are given.

Key concepts: Conjugate gradient method, Derivation of the conjugate gradient method, Nonlinear conjugate gradient method, Conjugate, Conjugate residual method, Gradient descent, Convergence (economics), Mathematics

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